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arcus_tangens [2015/04/27 17:02] nikolaj created |
arcus_tangens [2015/12/16 10:24] nikolaj |
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| ==== Function ==== | ==== Function ==== | ||
| | @#FFBB00: definiendum | @#FFBB00: $\arctan: \{z\in\mathbb C\mid |z|\le 1, z\neq \pm i\}\to\mathbb C$ | | | @#FFBB00: definiendum | @#FFBB00: $\arctan: \{z\in\mathbb C\mid |z|\le 1, z\neq \pm i\}\to\mathbb C$ | | ||
| - | | @#FFBB00: definiendum | @#FFBB00: $\arctan(z):=\sum_{k=0}^\infty (-1)^n\frac{1}{2n+1} z^{2n+1} $ | | + | | @#FFBB00: definiendum | @#FFBB00: $\arctan(z):=\sum_{n=0}^\infty (-1)^n\frac{1}{2n+1} z^{2n+1} $ | |
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